Calculus

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describe the surface and give traces :

x = y^2 - 4z^2

  • Calculus -

    It's a hyperbolic paraboloid
    for y=k, x = k^2-4z^2
    for z=k, x = y^2-4k^2
    both are parabolas
    for x=k, y^2-4z^2 = k^2
    is a hyperbola

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